16/3 + 13/11 as a fraction

Learn how to find what is 16/3 plus 13/11 in fraction form just in a few minutes. We have covered the easiest method to write 16/3 + 13/11 as a fraction and decimal.

Summary: 16/3 plus 13/11 = 215/33
Since both fractions have unequal denominators, 16/3 plus 13/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/3 and fraction 13/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 11. 33 is the LCM of 3 and 11. Multiplying the LCM 33 with the numerators and denominators of both fractions (16/3 x 33/33) + (13/11 x 33/33), and simplify further in order to have the common denominator. So the equivalent fraction for 16/3 is 176/33 and for 13/11 is 39/33. By simplifying this fraction addition 176/33 + 39/33, it becomes 215/33.

CALCULATION: 16/3 + 13/11 as a fraction
16/3 + 13/11 = (?)
16/3 + 13/11 = [(16 x 11) + (13 x 3)]/(3 x 11)
= (176 + 39)/33
= 215/33
16/3 + 13/11 = 215/33
16/3 plus 13/11 as a fraction is 215/33.

where
16/3 is a improper fraction as an addend,
13/11 is a improper fraction as an addend,
215/33 is the sum of 16/3 and 13/11.

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16/3 plus 13/11 as a decimal
16/3 + 13/11 = 215/33
215/33 = 6.5152
(16/3) + (13/11) as a decimal is 6.5152

where
6.5152 is the sum of 16/3 and 13/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/3 and 13/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/3 plus 13/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/3) + (13/11) using LCM Method:
What is 16/3 plus 13/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 13/11

What to be found?
(16/3) + (13/11) = ?
Find what's the sum of 16/3 and 13/11.

step 2 Compare the denominators of fractions 16/3 and 13/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/3 and 13/11 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 16/3 and 13/11:
The LCM of 3 and 11 is 33.

step 4 Write the fractions 16/3 and 13/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/3 + 13/11
= [(16 x 33)/(3 x 33)] + [(13 x 33)/(11 x 33)]

step 5 Simplify the expression to have common denominator:
= 176/33 + 39/33

step 6 Take the common values out and rewrite the above expression like the below:
= 1/33 x (176/1 + 39/1)
= 1/33 x (176 + 39)

step 7Simplify the above expression further:
= 1/33 x 215
= 215/33
16/3 + 13/11 = 215/33

Hence,
16/3 plus 13/11 as a fraction is 215/33.

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16/3 + 13/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 13/11

What to be found?
(16/3)+(13/11) = ?
Find what's the sum of 16/3 and 13/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 11), find the product of numerator of Fraction B and denominator of Fraction A (13 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 11) and rewrite the equation as like the below:
= (16 x 11) + (13 x 3)/(3 x 11)

step 3 Simplify and rewrite the fraction:
= (176 + 39)/33
16/3 + 13/11 = 215/33

Hence,
16/3 plus 13/11 in fraction is 215/33